47 research outputs found
Extrapolation-based approach to optimization with constraints determined by the Robin boundary problem for the Laplace equation
No full textThis paper considers the application of extrapolation techniques in finding approximate solutions of some optimization problems with constraints defined by the Robin boundary problem for the Laplace equation. When applied extrapolation techniques produce very accurate solutions of the boundary problems on relatively coarse meshes, but this paper demonstrates that this is not a real restriction when dealing with optimization problems. Producing a solution of continuous problem by polynomial extrapolation based on the low-order discrete problem solutions significantly reduces both computational time and memory. The present paper illustrates this approach using finite-difference and finite-element methods, and finally makes a brief remark about some tacit engineering assumptions regarding numerical solutions of conductive media problems by construction of equivalent resistor networks.</p
Extrapolation-based approach to optimization with constraints determined by the Robin boundary problem for the Laplace equation
No full textThis paper considers the application of extrapolation techniques in finding approximate solutions of some optimization problems with constraints defined by the Robin boundary problem for the Laplace equation. When applied extrapolation techniques produce very accurate solutions of the boundary problems on relatively coarse meshes, but this paper demonstrates that this is not a real restriction when dealing with optimization problems. Producing a solution of continuous problem by polynomial extrapolation based on the low-order discrete problem solutions significantly reduces both computational time and memory. The present paper illustrates this approach using finite-difference and finite-element methods, and finally makes a brief remark about some tacit engineering assumptions regarding numerical solutions of conductive media problems by construction of equivalent resistor networks.</p
Extrapolation-based approach to optimization with constraints determined by the Robin boundary problem for the Laplace equation
No full textThis paper considers the application of extrapolation techniques in finding approximate solutions of some optimization problems with constraints defined by the Robin boundary problem for the Laplace equation. When applied extrapolation techniques produce very accurate solutions of the boundary problems on relatively coarse meshes, but this paper demonstrates that this is not a real restriction when dealing with optimization problems. Producing a solution of continuous problem by polynomial extrapolation based on the low-order discrete problem solutions significantly reduces both computational time and memory. The present paper illustrates this approach using finite-difference and finite-element methods, and finally makes a brief remark about some tacit engineering assumptions regarding numerical solutions of conductive media problems by construction of equivalent resistor networks.</p
lecture notes on concentrated graduate courses
No full textThe Geometry and Moduli of K3 Surfaces (A. Harder, A. Thompson) -- Picard Ranks of K3 Surfaces of BHK Type (T. Kelly) -- Reflexive Polytopes and Lattice-Polarized K3 Surfaces (U. Whitcher) -- An Introduction to Hodge Theory (S.A. Filippini, H. Ruddat, A. Thompson) -- Introduction to Nonabelian Hodge Theory (A. Garcia-Raboso, S. Rayan) -- Algebraic and Arithmetic Properties of Period Maps (M. Kerr) -- Mirror Symmetry in Physics (C. Quigley) -- Introduction to Gromov–Witten Theory (S. Rose).- Introduction to Donaldson–Thomas and Stable Pair Invariants (M. van Garrel).- Donaldson–Thomas Invariants and Wall-Crossing Formulas (Y. Zhu).- Enumerative Aspects of the Gross–Siebert Program (M. van Garrel, D.P. Overholser, H. Ruddat).- Introduction to Modular Forms (S. Rose).- Lectures on Holomorphic Anomaly Equations (A. Kanazawa, J. Zhou) -- Polynomial Structure of Topological Partition Functions (J. Zhou).- Introduction to Arithmetic Mirror Symmetry (A. Perunicic
New Concept of the Fast Reactive Mobile Robot Navigation Using Pruning of Relevant Obstacles
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Impaired Insulin sensitivity and Insulin secretion in Haemodialysis patients with and without Secondary Hyperparathyroidism
No full textThe aim of our study was to investigate insulin sensitivity and beta cell function in hemodialysis (HD) patients without diabetes. We hypothesized that parathyroid gland function was a determinant of insulin sensitivity and/or beta cell function. The study was a randomized, cross-sectional one and patients were divided into two groups (total 27 patients), Gp.1 being those with relative hypoparathyroidism (iPTH<200 pg/ml) 9 (33.3%), Gp.2 those with hyperparathyroidism (iPTH200 pg/ml) 18 (66.6%) with Gp.3 (consisting of 43 healthy subjects acting as controls). Insulin resistance and insulin secretion were calculated from fasting serum insulin and glucose concentrations by the Homeostatic Model Assessment score (HOMA IR and HOMA BETA). The value of HOMA IR (3.28±1.3 for Gp.1, 4.80±2.4 for Gp.2, 1.70±0.8 for Gp.3) as well as the glucose level (5.0±1.0mmol/l in Gp.1, 5.2±0.8mmol/ l in Gp.2, 4.6±0.4mmol/l in Gp.3) was significantly higher in HD patients than in control subjects. Excessive insulin secretion was present in HD patients (as assessed by HOMA BETA) significantly higher only in Gp.1 (p=0.02).peer-reviewe
Extrapolation-based approach to optimization with constraints determined by the Robin boundary problem for the Laplace equation
No full textThis paper considers the application of extrapolation techniques in finding approximate solutions of some optimization problems with constraints defined by the Robin boundary problem for the Laplace equation. When applied extrapolation techniques produce very accurate solutions of the boundary problems on relatively coarse meshes, but this paper demonstrates that this is not a real restriction when dealing with optimization problems. Producing a solution of continuous problem by polynomial extrapolation based on the low-order discrete problem solutions significantly reduces both computational time and memory. The present paper illustrates this approach using finite-difference and finite-element methods, and finally makes a brief remark about some tacit engineering assumptions regarding numerical solutions of conductive media problems by construction of equivalent resistor networks
MS404 INFLUENCE OF SMOKING AND DIABETES MELLITUS TYPE 2 ON THE DEVELOPMENT OF CORONARY DISEASE
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